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Results tagged with geometric-measure-theory
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user 47280
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
3
votes
1
answer
432
views
Is the countable intersection of residual sets in [0,1] with Hausdorff dimension 1 of full H...
Let $E_k\subset [0,1]$ be residual subsets (i.e. containing dense $G_\delta $ set) with $E_{k+1}\subset E_k$ and $\dim_HE_k=1, \forall k.$ My question is : $\dim_H\bigcap_k E_k=1?$ Thanks.
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